Ex 14.5, 6 Draw a circle with centre C and radius 3.4 cm. Draw any chord (𝐴𝐵) ̅ . Construct the perpendicular bisector of (𝐴𝐵) ̅ and examine if it passes through C.
Let’s first draw a circle of radius 3.4 cm
We follow these steps
1. Mark point C as center
2. Since radius is 3.4 cm,
we measure 3.4 cm using ruler and compass
3. Since radius is 3.4 cm,
we measure 3.4 cm using ruler and compass
So, this is the required circle with center C
and radius = 3.4 cm
Let us draw a chord AB
Now, we need to draw perpendicular bisector of AB.
We follow these steps
1. With A as center, and radius more than half AB,
draw an arc on top and bottom of AB
With B as center and same radius as before,
draw an arc on top and bottom of AB
2.Where the two arcs intersect above AB is point X
and where the two arcs intersect below AB is point Y
Join XY
We note that
Perpendicular bisector of AB passes through point C
So, perpendicular of the chord passes through the center of circle